x+3(2x+7)=8(2x-3)

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Solution for x+3(2x+7)=8(2x-3) equation:


Simplifying
x + 3(2x + 7) = 8(2x + -3)

Reorder the terms:
x + 3(7 + 2x) = 8(2x + -3)
x + (7 * 3 + 2x * 3) = 8(2x + -3)
x + (21 + 6x) = 8(2x + -3)

Reorder the terms:
21 + x + 6x = 8(2x + -3)

Combine like terms: x + 6x = 7x
21 + 7x = 8(2x + -3)

Reorder the terms:
21 + 7x = 8(-3 + 2x)
21 + 7x = (-3 * 8 + 2x * 8)
21 + 7x = (-24 + 16x)

Solving
21 + 7x = -24 + 16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16x' to each side of the equation.
21 + 7x + -16x = -24 + 16x + -16x

Combine like terms: 7x + -16x = -9x
21 + -9x = -24 + 16x + -16x

Combine like terms: 16x + -16x = 0
21 + -9x = -24 + 0
21 + -9x = -24

Add '-21' to each side of the equation.
21 + -21 + -9x = -24 + -21

Combine like terms: 21 + -21 = 0
0 + -9x = -24 + -21
-9x = -24 + -21

Combine like terms: -24 + -21 = -45
-9x = -45

Divide each side by '-9'.
x = 5

Simplifying
x = 5

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